Least Common Multiple of 2496 and 2504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2496 and 2504 the smallest integer that is 781248 that is divisible by both numbers.

Least Common Multiple (LCM) of 2496 and 2504 is 781248.

LCM(2496,2504) = 781248

LCM of 2496 and 2504

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2496 and 2504

LCM of 2496 and 2504 is 781248

Least common multiple can be found by multiplying the highest exponent prime factors of 2496 and 2504. First we will calculate the prime factors of 2496 and 2504.

Prime Factorization of 2496


2 2496
2 1248
2 624
2 312
2 156
2 78
3 39
13 13
1

Prime factors of 2496 are 2, 3,13. Prime factorization of 2496 in exponential form is:

2496 = 26×31×131

Prime Factorization of 2504


2 2504
2 1252
2 626
313 313
1

Prime factors of 2504 are 2,313. Prime factorization of 2504 in exponential form is:

2504 = 23×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 2496 and 2504.

LCM(2496,2504) = 26×31×131×3131
LCM(2496,2504) = 781248

Factors of 2496

List of positive integer factors of 2496 that divides 2496 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 156, 192, 208, 312, 416, 624, 832, 1248, 2496

Factors of 2504

List of positive integer factors of 2504 that divides 2504 without a remainder.

1, 2, 4, 8, 313, 626, 1252, 2504

Least Common Multiple of 2496 and 2504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2496 and 2504, than apply into the LCM equation.

GCF(2496,2504) = 8
LCM(2496,2504) = ( 2496 × 2504) / 8
LCM(2496,2504) = 6249984 / 8
LCM(2496,2504) = 781248

Properties of LCM 2496 and 2504

(i) The LCM of 2504 and 2496 is associative

LCM of 2496 and 2504 = LCM of 2504 and 2496

Related Least Common Multiples of 2496

Related Least Common Multiples of 2504

Frequently Asked Questions on LCM of 2496 and 2504

1. What is the LCM of 2496 and 2504?

Answer: LCM of 2496 and 2504 is 781248.

2. What are the Factors of 2496?

Answer: Factors of 2496 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 156, 192, 208, 312, 416, 624, 832, 1248, 2496. There are 28 integers that are factors of 2496. The greatest factor of 2496 is 2496.

3. What are the Factors of 2504?

Answer: Factors of 2504 are 1, 2, 4, 8, 313, 626, 1252, 2504. There are 8 integers that are factors of 2504. The greatest factor of 2504 is 2504.

4. How to Find the LCM of 2496 and 2504?

Answer:

Least Common Multiple of 2496 and 2504 = 781248

Step 1: Find the prime factorization of 2496

2496 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13

Step 2: Find the prime factorization of 2504

2504 = 2 x 2 x 2 x 313

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 781248 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 313

Step 4: Therefore, the least common multiple of 2496 and 2504 is 781248.